Question

-81x³ - 36x⁵

Explanation:

Step1: Find the GCF of coefficients and variables

The GCF of -81 and -36 is -9. The GCF of \(x^3\) and \(x^5\) is \(x^3\). So the GCF of the two terms is \(-9x^3\).

Step2: Factor out the GCF

Factor out \(-9x^3\) from \(-81x^3 - 36x^5\):
\[

$$\begin{align*} -81x^3 - 36x^5&=-9x^3\times9 - 9x^3\times4x^2\\ &=-9x^3(9 + 4x^2) \end{align*}$$

\]

Answer:

\(-9x^3(9 + 4x^2)\)